Question

Si : P(x+2)=x^2-2x-4 , Calcular P(1)+P(5)

a) 1 b) -2 c) 3 d) -4 e) 5
ayuda por favor ;-;

Answer 1

Respuesta:     $-2$

Explicación paso a paso:

$P\left(x+2\right)=x^2-2x-4$

$P\left(1\right)+P\left(5\right)=?$

$P\left(x+2\right)=P\left(1\right)=P\left(-1+2\right),\:x=-1$

$P\left(1\right)\:=P\left(-1+2\right)=\left(-1\right)^2-2\left(-1\right)-4$

$P\left(1\right)=\left(-1\right)^2-2\left(-1\right)-4=-1$

$P\left(1\right)=-1$

$P\left(x+2\right)=P\left(5\right),\:x=3$

$P\left(3+2\right)=P\left(5\right)=\left(3\right)^2-2\left(3\right)-4$

$P\left(5\right)=\left(3\right)^2-2\left(3\right)-4=-1$

$P\left(5\right)=-1$

Entonces:

$P\left(1\right)+P\left(5\right)=\left(-1\right)+\left(-1\right)$

$\:P\left(1\right)+P\left(5\right)=-2$